Pertanyaan

Sederhanakanlah bentuk-bentuk pangkat berikut. 5 ( a b 2 c 3 ) − 3 × 2 2 a b 2 ÷ 10 a 7 c − 1 = ...

Sederhanakanlah bentuk-bentuk pangkat berikut.

$5 (a b^{2} c^{3})^{- 3} \times 2^{2} a b^{2} \div 10 a^{7} c^{- 1} = ...$

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R. Bella

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Mahasiswa/Alumni UIN Syarif Hidayatullah Jakarta

Jawaban terverifikasi

Jawaban

bentuk sederhanya adalah .

bentuk sederhanya adalah $begin mathsize 14px style fraction numerator 2 over denominator a to the power of 9 b to the power of 4 c to the power of 8 end fraction end style$ .

Pembahasan

Gunakan sifat bentuk eksponen berikut: Perhatikan perhitungan berikut: Jadi, bentuk sederhanya adalah .

Gunakan sifat bentuk eksponen berikut:

Perhatikan perhitungan berikut:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row blank blank cell 5 left parenthesis a b squared c cubed right parenthesis to the power of negative 3 end exponent cross times 2 to the power of 2 end exponent a b squared divided by 10 a to the power of 7 c to the power of negative 1 end exponent end cell row blank equals cell fraction numerator 5 left parenthesis a b squared c cubed right parenthesis to the power of negative 3 end exponent cross times 2 to the power of 2 end exponent a b squared over denominator 10 a to the power of 7 c to the power of negative 1 end exponent end fraction end cell row blank equals cell fraction numerator 5 a to the power of 1 cross times open parentheses negative 3 close parentheses end exponent b to the power of 2 cross times open parentheses negative 3 close parentheses end exponent c to the power of 3 cross times open parentheses negative 3 close parentheses end exponent cross times 4 a b squared over denominator 10 a to the power of 7 c to the power of negative 1 end exponent end fraction end cell row blank equals cell fraction numerator 20 a to the power of negative 3 end exponent b to the power of negative 6 end exponent c to the power of negative 9 end exponent cross times a b squared over denominator 10 a to the power of 7 c to the power of negative 1 end exponent end fraction end cell row blank equals cell fraction numerator 20 a to the power of negative 3 plus 1 end exponent b to the power of negative 6 plus 2 end exponent c to the power of negative 9 end exponent over denominator 10 a to the power of 7 c to the power of negative 1 end exponent end fraction end cell row blank equals cell fraction numerator 20 a to the power of negative 2 end exponent b to the power of negative 4 end exponent c to the power of negative 9 end exponent over denominator 10 a to the power of 7 c to the power of negative 1 end exponent end fraction end cell row blank equals cell 2 a to the power of negative 2 minus 7 end exponent b to the power of negative 4 end exponent c to the power of negative 9 minus open parentheses negative 1 close parentheses end exponent end cell row blank equals cell 2 a to the power of negative 9 end exponent b to the power of negative 4 end exponent c to the power of negative 8 end exponent end cell row blank equals cell fraction numerator 2 over denominator a to the power of 9 b to the power of 4 c to the power of 8 end fraction end cell end table end style$

Jadi, bentuk sederhanya adalah $begin mathsize 14px style fraction numerator 2 over denominator a to the power of 9 b to the power of 4 c to the power of 8 end fraction end style$ .